Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences Short Title: Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. Publisher: Royal Society Publishing, London ISSN: 1364-5021; 1471-2946/e Online: https://royalsocietypublishing.org/loi/rspahttps://www.jstor.org/journal/procmathphysengi Predecessor: Proceedings A. Royal Society of London Comments: Journal; This journal is available open access with a moving wall of 24 months. Documents Indexed: 1,192 Publications (since 2015) References Indexed: 898 Publications with 39,138 References. all top 5 Latest Issues 476, No. 2244 (2020) 476, No. 2243 (2020) 476, No. 2242 (2020) 476, No. 2241 (2020) 476, No. 2240 (2020) 476, No. 2239 (2020) 476, No. 2238 (2020) 476, No. 2237 (2020) 476, No. 2236 (2020) 476, No. 2235 (2020) 476, No. 2234 (2020) 476, No. 2233 (2020) 475, No. 2232 (2019) 475, No. 2231 (2019) 475, No. 2230 (2019) 475, No. 2229 (2019) 475, No. 2228 (2019) 475, No. 2227 (2019) 475, No. 2226 (2019) 475, No. 2225 (2019) 475, No. 2224 (2019) 475, No. 2223 (2019) 475, No. 2222 (2019) 475, No. 2221 (2019) 474, No. 2220 (2018) 474, No. 2219 (2018) 474, No. 2218 (2018) 474, No. 2217 (2018) 474, No. 2216 (2018) 474, No. 2215 (2018) 474, No. 2214 (2018) 474, No. 2213 (2018) 474, No. 2212 (2018) 474, No. 2211 (2018) 474, No. 2210 (2018) 474, No. 2209 (2018) 473, No. 2208 (2017) 473, No. 2207 (2017) 473, No. 2206 (2017) 473, No. 2205 (2017) 473, No. 2204 (2017) 473, No. 2203 (2017) 473, No. 2202 (2017) 473, No. 2201 (2017) 473, No. 2200 (2017) 473, No. 2199 (2017) 473, No. 2198 (2017) 473, No. 2197 (2017) 472, No. 2196 (2016) 472, No. 2195 (2016) 472, No. 2194 (2016) 472, No. 2193 (2016) 472, No. 2192 (2016) 472, No. 2191 (2016) 472, No. 2190 (2016) 472, No. 2189 (2016) 472, No. 2188 (2016) 472, No. 2187 (2016) 472, No. 2186 (2016) 472, No. 2185 (2016) 471, No. 2184 (2015) 471, No. 2183 (2015) 471, No. 2182 (2015) 471, No. 2181 (2015) all top 5 Authors 10 Goriely, Alain 9 Movchan, Alexander B. 9 Parnell, William J. 8 Abrahams, I. David 8 Kaplunov, Julius D. 7 Holm, Darryl Dallas 7 Neild, Simon A. 7 Simpson, Matthew J. 6 Ammari, Habib 6 Destrade, Michel 6 Kuznetsov, Andrey V. 6 Straughan, Brian 5 Ali, Sk Zeeshan 5 Brunton, Steven L. 5 Crampin, Edmund John 5 Dey, Subhasish 5 Fokas, Athanassios S. 5 Hill, Thomas L. 5 Jones, Ian S. 5 Kutz, J. Nathan 5 Kuznetsov, Ivan A. 5 Ogden, Raymond William 5 Porporato, Amilcare 5 Rogerson, Graham A. 5 Tronci, Cesare 4 Audoly, Basile 4 Bigoni, Davide 4 Bruno, Oscar P. 4 Carta, Giorgio 4 Chiribella, Giulio 4 Craster, Richard V. 4 Crowdy, Darren Gregory 4 Daly, Keith R. 4 Dorfmann, Luis 4 Fowler, Andrew C. 4 Fu, Yibin 4 Haberman, Michael R. 4 Haller, George 4 Hui, Chung-Yuen 4 Kent, Adrian 4 Maurel, Agnès 4 Mihai, L. Angela 4 Milton, Graeme Walter 4 Mishuris, Gennady S. 4 Neff, Patrizio 4 Paulino, Glaucio H. 4 Purohit, Prashant K. 4 Roose, Tiina 4 Rothman, Daniel H. 4 Shearer, Tom 4 Vella, Dominic 4 Yan, Zhenya 4 Zabarankin, Michael 4 Zhang, Guoqiang 3 Argatov, Ivan I. 3 Assier, RaphaĂ«l C. 3 Athanassoulis, Gerassimos A. 3 Ayton, Lorna J. 3 Bagarello, Fabio 3 Barbagallo, Gabriele 3 Barletta, Antonio 3 Broom, Mark 3 Cao, Jinde 3 Cavalieri, AndrĂ© V. G. 3 Celli, Michele 3 Champneys, Alan R. 3 Chen, Lin 3 Chen, Yichao 3 Choi, Gary Pui-Tung 3 Clanet, Christophe 3 Cohen, Yossi 3 Colbrook, Matthew J. 3 d’Agostino, Marco Valerio 3 El, Gennady A. 3 Evangelista, Luiz Roberto 3 Gawthrop, Peter J. 3 Ghorbaniasl, Ghader 3 Gower, Artur L. 3 Groh, Rainer M. J. 3 Guzina, Bojan B. 3 Hewitt, Ian J. 3 Holmes, Douglas P. 3 Jeffrey, Mike R. 3 Joshi, Nalini 3 Joy, Soumitra Roy 3 Kaminski Lenzi, Ervin 3 Kurths, JĂĽrgen 3 Leimkuhler, Benedict J. 3 Liu, Zezhou 3 Madeo, Angela 3 Mahadevan, Lakshminarayanan 3 Mantelli, Elisa 3 Masuda, Naoki 3 Mazumder, Pinaki 3 McCue, Scott William 3 Mercier, Jean-François 3 Misseroni, Diego 3 Moulton, Derek E. 3 Muhlestein, Michael B. 3 Muratov, Cyrill B. ...and 2,389 more Authors all top 5 Fields 307 Mechanics of deformable solids (74-XX) 265 Fluid mechanics (76-XX) 140 Partial differential equations (35-XX) 130 Statistical mechanics, structure of matter (82-XX) 116 Biology and other natural sciences (92-XX) 90 Optics, electromagnetic theory (78-XX) 90 Quantum theory (81-XX) 71 Geophysics (86-XX) 60 Dynamical systems and ergodic theory (37-XX) 58 Mechanics of particles and systems (70-XX) 48 Statistics (62-XX) 47 Numerical analysis (65-XX) 43 Ordinary differential equations (34-XX) 38 Probability theory and stochastic processes (60-XX) 37 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Information and communication theory, circuits (94-XX) 28 Classical thermodynamics, heat transfer (80-XX) 22 Computer science (68-XX) 20 Relativity and gravitational theory (83-XX) 18 Convex and discrete geometry (52-XX) 18 Systems theory; control (93-XX) 17 Combinatorics (05-XX) 14 Differential geometry (53-XX) 13 Difference and functional equations (39-XX) 13 Operations research, mathematical programming (90-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Special functions (33-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Astronomy and astrophysics (85-XX) 9 Functions of a complex variable (30-XX) 8 History and biography (01-XX) 8 Algebraic geometry (14-XX) 7 Integral equations (45-XX) 6 Number theory (11-XX) 6 Real functions (26-XX) 5 Nonassociative rings and algebras (17-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Functional analysis (46-XX) 4 Operator theory (47-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 3 Topological groups, Lie groups (22-XX) 3 Algebraic topology (55-XX) 2 Mathematical logic and foundations (03-XX) 2 Measure and integration (28-XX) 2 Integral transforms, operational calculus (44-XX) 1 Sequences, series, summability (40-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 898 Publications have been cited 5,083 times in 4,223 Documents Cited by ▼ Year ▼ Learning partial differential equations via data discovery and sparse optimization. Zbl 1404.35397 Schaeffer, Hayden 88 2017 Matrix models and deformations of JT gravity. Zbl 1472.83071 Witten, Edward 73 2020 The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method. Zbl 1371.35278 Tian, Shou-Fu 62 2016 Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks. Zbl 1402.92030 Vlachas, Pantelis R.; Byeon, Wonmin; Wan, Zhong Y.; Sapsis, Themistoklis P.; Koumoutsakos, Petros 58 2018 Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015 Constantin, A.; Johnson, R. S. 53 2017 The postulations á la d’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results. Zbl 1371.82032 dell’Isola, F.; Seppecher, P.; Della Corte, A. 51 2015 Sparse identification of nonlinear dynamics for model predictive control in the low-data limit. Zbl 1425.93175 Kaiser, E.; Kutz, J. N.; Brunton, S. L. 51 2018 Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256 Chen, Jinbing; Pelinovsky, Dmitry E. 48 2018 Applications of variable-order fractional operators: a review. Zbl 1439.26028 Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio 47 2020 Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling. Zbl 1407.62252 Perdikaris, P.; Raissi, M.; Damianou, A.; Lawrence, N. D.; Karniadakis, G. E. 46 2017 Model selection for dynamical systems via sparse regression and information criteria. Zbl 1404.65308 Mangan, N. M.; Kutz, J. N.; Brunton, S. L.; Proctor, J. L. 43 2017 Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis. Zbl 1404.74064 Giorgio, I.; Rizzi, N. L.; Turco, E. 42 2017 Energy approach to brittle fracture in strain-gradient modelling. Zbl 1402.74094 Placidi, Luca; Barchiesi, Emilio 38 2018 Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157 Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe 37 2020 Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175 Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em 35 2020 Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267 Zhang, Sheng; Lin, Guang 35 2018 Recoverability in quantum information theory. Zbl 1371.81070 Wilde, Mark M. 31 2015 Trigonal curves and algebro-geometric solutions to soliton hierarchies. I. Zbl 1404.35392 Ma, Wen-Xiu 31 2017 Methodical fitting for mathematical models of rubber-like materials. Zbl 1404.74016 Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne 30 2017 Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics. Zbl 1402.76101 Cotter, C. J.; Gottwald, G. A.; Holm, D. D. 28 2017 Assessing the robustness of spatial pattern sequences in a dryland vegetation model. Zbl 1371.92136 Gowda, Karna; Chen, Yuxin; Iams, Sarah; Silber, Mary 27 2016 A priori estimation of memory effects in reduced-order models of nonlinear systems using the Mori-Zwanzig formalism. Zbl 1402.76065 Gouasmi, Ayoub; Parish, Eric J.; Duraisamy, Karthik 27 2017 Trigonal curves and algebro-geometric solutions to soliton hierarchies. II. Zbl 1404.35393 Ma, Wen-Xiu 27 2017 Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes. Zbl 1404.92013 Ding, Xiaoshuai; Cao, Jinde; Zhao, Xuan; Alsaadi, Fuad E. 27 2017 How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018 Mihai, L. Angela; Goriely, Alain 26 2017 Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage. Zbl 1371.74226 Forest, Samuel 25 2016 Koopman wavefunctions and classical-quantum correlation dynamics. Zbl 1472.81012 Bondar, Denys I.; Gay-Balmaz, François; Tronci, Cesare 25 2019 Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068 Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K. 25 2020 Dynamics of lumps and dark-dark solitons in the multi-component long-wave-short-wave resonance interaction system. Zbl 1402.35070 Rao, Jiguang; Porsezian, Kuppuswamy; He, Jingsong; Kanna, Thambithurai 25 2018 Well-posed continuum equations for granular flow with compressibility and \(\mu(I)\)-rheology. Zbl 1404.76278 Barker, T.; Schaeffer, D. G.; Shearer, M.; Gray, J. M. N. T. 25 2017 Understanding how porosity gradients can make a better filter using homogenization theory. Zbl 1371.76133 Dalwadi, M. P.; Griffiths, I. M.; Bruna, M. 24 2015 A minimization principle for the description of modes associated with finite-time instabilities. Zbl 1371.34064 Babaee, H.; Sapsis, T. P. 23 2016 Submesocale currents in the ocean. Zbl 1371.86012 McWilliams, James C. 23 2016 On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228 Li, Hongjie; Liu, Hongyu 23 2018 Variational principles for stochastic soliton dynamics. Zbl 1371.70041 Holm, Darryl D.; Tyranowski, Tomasz M. 22 2016 Revisiting the Fisher-Kolmogorov-Petrovsky-Piskunov equation to interpret the spreading-extinction dichotomy. Zbl 1472.35398 El-Hachem, Maud; Mccue, Scott W.; Jin, Wang; Du, Yihong; Simpson, Matthew J. 21 2019 Contact geometry for simple thermodynamical systems with friction. Zbl 1472.53109 Simoes, Alexandre Anahory; de LeĂłn, Manuel; Lainz Valcázar, Manuel; MartĂn de Diego, David 21 2020 Sub-wavelength focusing of acoustic waves in bubbly media. Zbl 1404.76235 Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai 21 2017 Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects. Zbl 1404.35398 Zhang, Jian-Hui; Wang, Lei; Liu, Chong 21 2017 Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation. Zbl 1372.91084 DĂĽring, Bertram; Wolfram, Marie-Therese 20 2015 The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures. Zbl 1472.78020 Zhang, Guoqiang; Yan, Zhenya; Wang, Li 20 2019 Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations. Zbl 1404.39004 Fu, Wei; Nijhoff, Frank W. 20 2017 Quantum speedup of Monte Carlo methods. Zbl 1371.82053 Montanaro, Ashley 19 2015 First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. Zbl 1371.82126 Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio 19 2016 Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity. Zbl 1402.76024 Das, S.; Sahoo, T.; Meylan, M. H. 19 2018 New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. Zbl 1402.76027 Lushnikov, Pavel M.; Dyachenko, Sergey A.; Silantyev, Denis A. 19 2017 Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations. Zbl 1404.35424 Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong 19 2017 Mixed finite-element formulations in piezoelectricity and flexoelectricity. Zbl 1371.74261 Mao, Sheng; Purohit, Prashant K.; Aravas, Nikolaos 18 2016 On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156 Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda 18 2019 Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004 Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J. 18 2017 The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. Zbl 1404.35375 Zhang, Guoqiang; Yan, Zhenya 18 2018 Universal recovery map for approximate Markov chains. Zbl 1376.81015 Sutter, David; Fawzi, Omar; Renner, Renato 17 2016 On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065 El-Nabulsi, Rami Ahmad 17 2020 Causal dissipation for the relativistic dynamics of ideal gases. Zbl 1404.82058 FreistĂĽhler, Heinrich; Temple, Blake 17 2017 Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017 Dorfmann, Luis; Ogden, Ray W. 17 2017 Real wave propagation in the isotropic-relaxed micromorphic model. Zbl 1404.82028 Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; D’Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel 17 2017 Point vortex interactions on a toroidal surface. Zbl 1371.76046 Sakajo, Takashi; Shimizu, Yuuki 16 2016 SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007 Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L. 16 2020 Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems. Zbl 1402.34047 Breunung, Thomas; Haller, George 16 2018 Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1404.82101 Muratov, Cyrill B.; Slastikov, Valeriy V. 16 2017 Interfacial waveforms in chiral lattices with gyroscopic spinners. Zbl 1404.74010 Garau, M.; Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B. 16 2018 The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274 Lenells, J.; Fokas, A. S. 15 2015 A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area. Zbl 1371.53062 Dallaston, Michael C.; McCue, Scott W. 15 2016 Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space. Zbl 1371.78330 Bruno, Oscar P.; Shipman, Stephen P.; Turc, Catalin; Venakides, Stephanos 15 2016 On the dynamic homogenization of periodic media: Willis’ approach versus two-scale paradigm. Zbl 1402.74047 Meng, Shixu; Guzina, Bojan B. 15 2018 The nonlinear Schrödinger equation with \(t\)-periodic data: I. Exact results. Zbl 1371.35273 Lenells, J.; Fokas, A. S. 14 2015 Discretization of polynomial vector fields by polarization. Zbl 1372.65201 Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W. 14 2015 Radiating dispersive shock waves in non-local optical media. Zbl 1371.78043 El, Gennady A.; Smyth, Noel F. 14 2016 Closed-form evaluation of two-dimensional static lattice sums. Zbl 1371.33032 Yakubovich, S.; Drygas, P.; Mityushev, V. 14 2016 The mathematics of asymptotic stability in the Kuramoto model. Zbl 1425.35206 Dietert, Helge; Fernandez, Bastien 14 2018 Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates. Zbl 1402.76165 Sun, Wen-Rong; Wang, Lei 14 2018 Gyro-elastic beams for the vibration reduction of long flexural systems. Zbl 1404.74078 Carta, G.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; Nieves, M. J. 14 2017 On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction. Zbl 1404.74065 Molnar, T. G.; Dombovari, Z.; Insperger, T.; Stepan, G. 14 2017 Homogenization of composite ferromagnetic materials. Zbl 1371.82148 Alouges, François; Di Fratta, Giovanni 13 2015 Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Zbl 1371.74025 Chebakov, R.; Kaplunov, J.; Rogerson, G. A. 13 2016 Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280 Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav 13 2016 A fully coupled subwavelength resonance approach to filtering auditory signals. Zbl 1472.94022 Ammari, Habib; Davies, Bryn 13 2019 Interplay between cost and effectiveness in influenza vaccine uptake: a vaccination game approach. Zbl 1472.92196 Arefin, Md. Rajib; Masaki, Tanaka; Kabir, K. M. Ariful; Tanimoto, Jun 13 2019 Model selection for hybrid dynamical systems via sparse regression. Zbl 1427.93253 Mangan, N. M.; Askham, T.; Brunton, S. L.; Kutz, J. N.; Proctor, J. L. 13 2019 Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids. Zbl 1404.76298 Wang, Zhan 13 2017 On the role of micro-inertia in enriched continuum mechanics. Zbl 1404.82039 Madeo, Angela; Neff, Patrizio; Aifantis, Elias C.; Barbagallo, Gabriele; d’Agostino, Marco Valerio 13 2017 Amplifiers of selection. Zbl 1371.92093 Adlam, B.; Chatterjee, K.; Nowak, M. A. 12 2015 Evolutionary graph theory revisited: when is an evolutionary process equivalent to the Moran process. Zbl 1371.92098 Pattni, Karan; Broom, Mark; Rychtář, Jan; Silvers, Lara J. 12 2015 On well-posedness of variational models of charged drops. Zbl 1371.76163 Muratov, Cyrill B.; Novaga, Matteo 12 2016 Numerical solution of acoustic scattering by finite perforated elastic plates. Zbl 1371.74219 Cavalieri, A. V. G.; Wolf, W. R.; Jaworski, J. W. 12 2016 High-frequency homogenization for travelling waves in periodic media. Zbl 1371.35005 Harutyunyan, Davit; Milton, Graeme W.; Craster, Richard V. 12 2016 Bidispersive-inclined convection. Zbl 1371.80017 Falsaperla, Paolo; Mulone, Giuseppe; Straughan, Brian 12 2016 Formal groups and \(Z\)-entropies. Zbl 1371.94581 Tempesta, Piergiulio 12 2016 Onsager’s conjecture in bounded domains for the conservation of entropy and other companion laws. Zbl 1472.35285 Bardos, C.; Gwiazda, P.; Ĺšwierczewska-Gwiazda, A.; Titi, E. S.; Wiedemann, E. 12 2019 Control of chaotic systems by deep reinforcement learning. Zbl 1472.68171 Bucci, M. A.; Semeraro, O.; Allauzen, A.; Wisniewski, G.; Cordier, L.; Mathelin, L. 12 2019 A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic. Zbl 1472.92241 Stutt, Richard O. J. H.; Retkute, Renata; Bradley, Michael; Gilligan, Christopher A.; Colvin, John 12 2020 Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069 Shang, Xiaocheng; Ă–ttinger, Hans Christian 12 2020 Quantum machine learning: a classical perspective. Zbl 1402.68154 Ciliberto, Carlo; Herbster, Mark; Ialongo, Alessandro Davide; Pontil, Massimiliano; Rocchetto, Andrea; Severini, Simone; Wossnig, Leonard 12 2018 Density of convex intersections and applications. Zbl 1402.49012 HintermĂĽller, M.; Rautenberg, C. N.; Rösel, S. 12 2017 Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008 Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain 12 2018 Pairwise approximation for SIR-type network epidemics with non-Markovian recovery. Zbl 1402.92410 Röst, G.; Vizi, Z.; Kiss, I. Z. 12 2018 Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders – including Wood anomalies. Zbl 1404.78024 Bruno, Oscar P.; Fernandez-Lado, Agustin G. 12 2017 Whitham modulation theory for the Kadomtsev-Petviashvili equation. Zbl 1404.35382 Ablowitz, Mark J.; Biondini, Gino; Wang, Qiao 12 2017 Bidispersive vertical convection. Zbl 1404.76257 Gentile, M.; Straughan, B. 12 2017 History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability. Zbl 1404.35458 Klika, Václav; Gaffney, Eamonn A. 12 2017 Matrix models and deformations of JT gravity. Zbl 1472.83071 Witten, Edward 73 2020 Applications of variable-order fractional operators: a review. Zbl 1439.26028 Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio 47 2020 Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157 Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe 37 2020 Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175 Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em 35 2020 Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068 Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K. 25 2020 Contact geometry for simple thermodynamical systems with friction. Zbl 1472.53109 Simoes, Alexandre Anahory; de LeĂłn, Manuel; Lainz Valcázar, Manuel; MartĂn de Diego, David 21 2020 On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065 El-Nabulsi, Rami Ahmad 17 2020 SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007 Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L. 16 2020 A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic. Zbl 1472.92241 Stutt, Richard O. J. H.; Retkute, Renata; Bradley, Michael; Gilligan, Christopher A.; Colvin, John 12 2020 Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069 Shang, Xiaocheng; Ă–ttinger, Hans Christian 12 2020 The super-StĂĽckelberg procedure and dS in pure supergravity. Zbl 1472.83109 Nagy, Silvia; Padilla, Antonio; Zavala, Ivonne 11 2020 A generalized fractional-order elastodynamic theory for non-local attenuating media. Zbl 1472.74020 Patnaik, Sansit; Semperlotti, Fabio 11 2020 Liquid crystals on deformable surfaces. Zbl 1472.82040 Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel 11 2020 Target competition for resources under multiple search-and-capture events with stochastic resetting. Zbl 1472.60149 Bressloff, P. C. 11 2020 Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators. Zbl 1439.74133 Ammari, Habib; Davies, Bryn 11 2020 Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation. Zbl 1472.35446 Zhang, Zhi-Yong 10 2020 Exponential stability in Mindlin’s form II gradient thermoelasticity with microtemperatures of type III. Zbl 1472.74006 Aouadi, M.; Passarella, F.; Tibullo, V. 10 2020 Localized structures on librational and rotational travelling waves in the sine-Gordon equation. Zbl 1472.35010 Pelinovsky, Dmitry E.; White, Robert E. 10 2020 Steering eco-evolutionary game dynamics with manifold control. Zbl 1472.91009 Wang, Xin; Zheng, Zhiming; Fu, Feng 9 2020 Vigorous convection in porous media. Zbl 1472.76094 Hewitt, D. R. 9 2020 Fixed-time synchronization of quaternion-valued neural networks with time-varying delay. Zbl 1472.34135 Kumar, Umesh; Das, Subir; Huang, Chuangxia; Cao, Jinde 9 2020 Learning partial differential equations for biological transport models from noisy spatio-temporal data. Zbl 1439.35493 Lagergren, John H.; Nardini, John T.; Lavigne, G. Michael; Rutter, Erica M.; Flores, Kevin B. 9 2020 A unified approach for topology optimization with local stress constraints considering various failure criteria: von Mises, Drucker-Prager, Tresca, Mohr-Coulomb, Bresler-Pister and Willam-Warnke. Zbl 1472.74179 Giraldo-Londoño, Oliver; Paulino, Glaucio H. 8 2020 Shallow neural networks for fluid flow reconstruction with limited sensors. Zbl 1472.68172 Erichson, N. Benjamin; Mathelin, Lionel; Yao, Zhewei; Brunton, Steven L.; Mahoney, Michael W.; Kutz, J. Nathan 8 2020 A new class of mass dimension one fermions. Zbl 1472.81305 Ahluwalia, Dharam Vir 8 2020 Shape analysis via inconsistent surface registration. Zbl 1472.53108 Choi, Gary P. T.; Qiu, Di; Lui, Lok Ming 8 2020 From a discrete model of chemotaxis with volume-filling to a generalized Patlak-Keller-Segel model. Zbl 1472.92062 Bubba, Federica; Lorenzi, Tommaso; Macfarlane, Fiona R. 7 2020 Heterogeneity in evolutionary games: an analysis of the risk perception. Zbl 1472.91005 Amaral, Marco A.; Javarone, Marco A. 7 2020 Unpacking the Allee effect: determining individual-level mechanisms that drive global population dynamics. Zbl 1472.92174 Fadai, Nabil T.; Johnston, Stuart T.; Simpson, Matthew J. 7 2020 Bayesian differential programming for robust systems identification under uncertainty. Zbl 1472.68166 Yang, Yibo; Bhouri, Mohamed Aziz; Perdikaris, Paris 7 2020 The relationship between viscoelasticity and elasticity. Zbl 1472.74038 Snoeijer, J. H.; Pandey, A.; Herrada, M. A.; Eggers, J. 7 2020 How do conservative backbone curves perturb into forced responses? A Melnikov function analysis. Zbl 1439.70030 Cenedese, Mattia; Haller, George 7 2020 Reduced model for the surface dynamics of a generally anisotropic elastic half-space. Zbl 1439.74150 Fu, Yibin; Kaplunov, Julius; Prikazchikov, Danila 7 2020 Existence and stability of limit cycles in the model of a planar passive biped walking down a slope. Zbl 1472.34062 Makarenkov, Oleg 6 2020 A framework for second-order eigenvector centralities and clustering coefficients. 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Zbl 1472.92096 Jensen, Oliver E.; Johns, Emma; Woolner, Sarah 2 2020 ...and 798 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,323 Authors 44 Tian, Shoufu 30 Ammari, Habib 26 Barchiesi, Emilio 26 Holm, Darryl Dallas 26 Neff, Patrizio 21 Geng, Xianguo 20 Karniadakis, George Em 20 Wang, Xiubin 19 Liu, Hongyu 19 Placidi, Luca 19 Zhang, Tiantian 17 Brunton, Steven L. 16 He, Jingsong 16 Turco, Emilio 15 Giorgio, Ivan 15 Kaplunov, Julius D. 15 Simpson, Matthew J. 14 Hoefer, Mark A. 14 Kutz, J. Nathan 14 Madeo, Angela 14 Tronci, Cesare 14 Yavari, Arash 13 dell’Isola, Francesco 13 Ma, Wen-Xiu 13 Movchan, Alexander B. 13 Rychtár, Jan 13 Yang, Jinjie 12 Di Fratta, Giovanni 12 Goriely, Alain 12 Saccomandi, Giuseppe 11 Babaee, Hessam 11 Cao, Jinde 11 Carta, Giorgio 11 Chen, Yong 11 Hiltunen, Erik Orvehed 11 Mihalache, Dumitru 11 Neves, Mario jun. 11 Straughan, Brian 10 d’Agostino, Marco Valerio 10 de LeĂłn RodrĂguez, Manuel 10 Gay-Balmaz, François 10 Ghiba, Ionel-Dumitrel 10 Grammaticos, Basil 10 Li, Zhiqiang 10 Meylan, Michael H. 10 Muratov, Cyrill B. 10 Penta, Raimondo 10 Ramani, Alfred 10 Ratliff, Daniel J. 10 Singh, Mehakpreet 10 Tian, Bo 10 Xiu, Dongbin 10 Xue, Bo 10 Yan, Zhenya 9 Abali, Bilen Emek 9 Aouadi, Moncef 9 El, Gennady A. 9 Hutzenthaler, Martin 9 Jentzen, Arnulf 9 Nobili, Andrea 9 Ostoja-Starzewski, Martin 9 Peng, Weiqi 9 Prikazchikov, Danila A. 9 Sapsis, Themistoklis P. 9 Slastikov, Valeriy V. 9 Smith, Frank T. 9 Willox, Ralph 8 Ayton, Lorna J. 8 Bagarello, Fabio 8 Coman, Ciprian D. 8 Crowdy, Darren Gregory 8 Davies, Bryn 8 Deng, Youjun 8 Dyachenko, Sergey A. 8 El-Nabulsi, Rami Ahmad 8 FeÄŤkan, Michal 8 Forrester, Peter J. 8 Haller, George 8 Jones, Ian S. 8 Krause, Andrew L. 8 Li, Hongjie 8 Lui, Lok Ming 8 Lustri, Christopher J. 8 Martin, Calin-Iulian 8 Marynets, Kateryna 8 McCue, Scott William 8 Mihai, L. Angela 8 Nicholls, David P. 8 Parnell, William J. 8 Pelinovsky, Dmitry Efimovich 8 Rao, Jiguang 8 Rautenberg, Carlos N. 8 RĂĽland, Angkana 8 Sahoo, Trilochan 8 Taylor, Dewey T. 8 van Gorder, Robert Ashton 8 Voigt, Axel 8 Wang, Jinrong 8 Yan, Xuewei 8 Zhang, Guoqiang ...and 7,223 more Authors all top 5 Cited in 445 Journals 272 Journal of Fluid Mechanics 244 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 153 Journal of Computational Physics 132 Computer Methods in Applied Mechanics and Engineering 114 Journal of Physics A: Mathematical and Theoretical 111 Physica D 93 Mathematics and Mechanics of Solids 91 Journal of High Energy Physics 67 International Journal of Engineering Science 67 ZAMP. Zeitschrift fĂĽr angewandte Mathematik und Physik 66 Wave Motion 63 Journal of Elasticity 63 Journal of Nonlinear Science 61 Journal of Mathematical Physics 61 Nonlinear Dynamics 57 Applied Mathematical Modelling 57 European Journal of Mechanics. A. 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Mathematical Models & Methods in Applied Sciences 8 Communications on Pure and Applied Analysis 8 Advances in Difference Equations 8 Oberwolfach Reports 8 Journal of Geometric Mechanics ...and 345 more Journals all top 5 Cited in 62 Fields 1,130 Partial differential equations (35-XX) 1,026 Mechanics of deformable solids (74-XX) 939 Fluid mechanics (76-XX) 532 Numerical analysis (65-XX) 484 Dynamical systems and ergodic theory (37-XX) 399 Quantum theory (81-XX) 348 Biology and other natural sciences (92-XX) 269 Computer science (68-XX) 237 Statistical mechanics, structure of matter (82-XX) 212 Probability theory and stochastic processes (60-XX) 202 Ordinary differential equations (34-XX) 188 Mechanics of particles and systems (70-XX) 179 Optics, electromagnetic theory (78-XX) 176 Statistics (62-XX) 157 Geophysics (86-XX) 121 Relativity and gravitational theory (83-XX) 115 Systems theory; control (93-XX) 99 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 97 Differential geometry (53-XX) 93 Operator theory (47-XX) 85 Calculus of variations and optimal control; optimization (49-XX) 73 Difference and functional equations (39-XX) 72 Information and communication theory, circuits (94-XX) 69 Real functions (26-XX) 69 Classical thermodynamics, heat transfer (80-XX) 53 Functions of a complex variable (30-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 48 Combinatorics (05-XX) 48 Functional analysis (46-XX) 46 Integral equations (45-XX) 41 Algebraic geometry (14-XX) 41 Special functions (33-XX) 41 Operations research, mathematical programming (90-XX) 40 Global analysis, analysis on manifolds (58-XX) 38 Approximations and expansions (41-XX) 37 Convex and discrete geometry (52-XX) 26 Number theory (11-XX) 24 General and overarching topics; collections (00-XX) 23 Topological groups, Lie groups (22-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 18 Potential theory (31-XX) 16 Manifolds and cell complexes (57-XX) 16 Astronomy and astrophysics (85-XX) 15 Nonassociative rings and algebras (17-XX) 14 Measure and integration (28-XX) 13 Group theory and generalizations (20-XX) 12 Associative rings and algebras (16-XX) 12 General topology (54-XX) 10 History and biography (01-XX) 10 Several complex variables and analytic spaces (32-XX) 9 Algebraic topology (55-XX) 8 Mathematical logic and foundations (03-XX) 8 Integral transforms, operational calculus (44-XX) 7 Geometry (51-XX) 6 Category theory; homological algebra (18-XX) 5 Abstract harmonic analysis (43-XX) 4 Commutative algebra (13-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Sequences, series, summability (40-XX) 1 Field theory and polynomials (12-XX) 1 Mathematics education (97-XX) Citations by Year